#include using namespace std; typedef long long ll; typedef pair l_l; typedef pair i_i; #define EPS (1e-7) #define INF (1e9) #define PI (acos(-1)) const ll mod = 1000000007; ll N; vector pathes[200500]; ll parent[200500]; ll depth[200500]; ll depthnum[200050]; ll inv[1000000]; ll FactorialInv[1000000]; ll Factorial[1000000]; ll beki(ll a, ll b){ if(b == 0){ return 1; } ll ans = beki(a, b / 2); ans = ans * ans % mod; if(b % 2 == 1){ ans = ans * a % mod; } return ans; } void init_combination(){ inv[1] = 1; FactorialInv[1] = 1; Factorial[1] = 1; Factorial[0] = 1; FactorialInv[0] = 1; inv[0] = 1; for(int i = 2; i < 1000000; i++){ inv[i] = beki(i, mod - 2); Factorial[i] = Factorial[i - 1] * i % mod; FactorialInv[i] = FactorialInv[i - 1] * inv[i] % mod; } } ll combination(ll a, ll b){ if((a == b) || (b == 0)){ return 1; } ll ans = Factorial[a] * FactorialInv[b] % mod; ans = ans * FactorialInv[a - b] % mod; return ans; } void dfs(int from) { depthnum[depth[from]]++; for(int i = 0; i < pathes[from].size(); i++) { int to = pathes[from][i]; if(to == parent[from]) continue; parent[to] = from; depth[to] = depth[from] + 1; dfs(to); } } int main() { //cout.precision(10); cin.tie(0); ios::sync_with_stdio(false); cin >> N; init_combination(); for(int i = 1; i < N; i++) { int u, v; cin >> u >> v; pathes[u].push_back(v); pathes[v].push_back(u); } depth[1] = 0; dfs(1); //for(int i = 0; i < N; i++) cerr << i << " " << depthnum[i] << endl; ll ans = 0; for(ll d = 0; d < N; d++) { ll num = combination(N, d + 1) * Factorial[N - d - 1]; num %= mod; num *= Factorial[d]; num %= mod; ans += num * depthnum[d]; ans %= mod; //cerr << ans << endl; } cout << ans << endl; return 0; }